107227181152 has 96 divisors (see below), whose sum is σ = 260746323264. Its totient is φ = 42268262400.

The previous prime is 107227181147. The next prime is 107227181153. The reversal of 107227181152 is 251181722701.

It is a happy number.

It is a super-2 number, since 2×107227181152² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107227181153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752752 + ... + 883792.

It is an arithmetic number, because the mean of its divisors is an integer number (2716107534).

Almost surely, 2^107227181152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107227181152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130373161632).

107227181152 is an abundant number, since it is smaller than the sum of its proper divisors (153519142112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107227181152 is a wasteful number, since it uses less digits than its factorization.

107227181152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131352 (or 131344 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 37.

The spelling of 107227181152 in words is "one hundred seven billion, two hundred twenty-seven million, one hundred eighty-one thousand, one hundred fifty-two".